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Finding the Fourth Proportional to 283,713.18, 425,636.01 and 96,724.86

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Solution

The fourth proportional to 283,713.18, 425,636.01 and 96,724.86 is: 145,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,713.18 : 425,636.01 = 96,724.86 : x
  2. Step 2: Convert to fraction form
    283,713.18/425,636.01 = 96,724.86/x
  3. Step 3: Cross multiply
    283,713.18x = 425,636.01 × 96,724.86
  4. Step 4: Simplify right side
    283,713.18x = 41,169,583,478.21
  5. Step 5: Solve for x
    x = 41,169,583,478.21/283,713.18
  6. Step 6: Final answer
    x = 145,109.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.